{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 7b - Surface Roughness & Scattering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### August 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial demonstrates how surface roughness and scattering can be configured on surfaces in Optiland. We will compare singlets with the following scattering properties assigned:\n",
    "\n",
    "- No scattering\n",
    "- Gaussian Scattering\n",
    "- Lambertian Scattering\n",
    "\n",
    "The scattering model is defined via the Bidirectional Scattering Distribution Function, or BSDF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from optiland import optic, scatter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Preparation\n",
    "\n",
    "We first define a generic singlet class that accepts a bsdf as an input. In this example, we assign the scattering only to the rear surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SingletConfigurable(optic.Optic):\n",
    "    def __init__(self, bsdf):\n",
    "        super().__init__()\n",
    "\n",
    "        # add surfaces\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            thickness=7,\n",
    "            radius=50,\n",
    "            is_stop=True,\n",
    "            material=\"N-SF11\",\n",
    "        )\n",
    "        self.add_surface(index=2, thickness=50, bsdf=bsdf)  # <-- add bsdf here\n",
    "        self.add_surface(index=3)\n",
    "\n",
    "        # add aperture\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=25.4)\n",
    "\n",
    "        # add field\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=10)\n",
    "        self.add_field(y=14)\n",
    "\n",
    "        # add wavelength\n",
    "        self.add_wavelength(value=0.48613270)\n",
    "        self.add_wavelength(value=0.58756180, is_primary=True)\n",
    "        self.add_wavelength(value=0.65627250)\n",
    "\n",
    "        self.image_solve()  # solve for image plane"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's also define a helper function to plot a 2D distribution of rays intersection points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_ray_distribution(rays, bins=128):\n",
    "    x = rays.x\n",
    "    y = rays.y\n",
    "    i = rays.i\n",
    "\n",
    "    plt.hist2d(x, y, weights=i, bins=bins, cmap=\"viridis\")\n",
    "    plt.colorbar()\n",
    "    plt.xlabel(\"X (mm)\")\n",
    "    plt.ylabel(\"Y (mm)\")\n",
    "    plt.title(\"2D Ray Distribution on Image Plane\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Singlet #1 - No Surface Scattering\n",
    "\n",
    "The first singlet we analyze will have no scattering applied. Let's first define the lens and draw it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "singlet_no_scatter = SingletConfigurable(bsdf=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "singlet_no_scatter.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's trace 1 million random rays through the lens at the on-axis field point and look at the distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rays = singlet_no_scatter.trace(\n",
    "    Hx=0,\n",
    "    Hy=0,\n",
    "    wavelength=0.58756180,\n",
    "    num_rays=1_000_000,\n",
    "    distribution=\"random\",\n",
    ")\n",
    "\n",
    "plot_ray_distribution(rays, bins=128)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, the energy is largely located at the origin on the image plane. Let's see how this is implacted when scattering is introduced."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Singlet #2 - Gaussian Scattering\n",
    "\n",
    "Gaussian scattering is defined by a 2D Gaussian distribution with a user-defined sigma (std. dev.) value. The larger the value of sigma, the closer the scattering model comes to Lambertian. We define a GaussianBSDF model with a sigma value of 0.01 and generate a new singlet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "bsdf = scatter.GaussianBSDF(sigma=0.01)\n",
    "singlet_gaussian = SingletConfigurable(bsdf=bsdf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, we trace 1 million rays and view the distribution at the image plane:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rays = singlet_gaussian.trace(\n",
    "    Hx=0,\n",
    "    Hy=0,\n",
    "    wavelength=0.58756180,\n",
    "    num_rays=1_000_000,\n",
    "    distribution=\"random\",\n",
    ")\n",
    "\n",
    "plot_ray_distribution(rays)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The image size has blurred significantly in comparison to the no-scattering case. Note that the plot axis spans a larger range here as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Singlet #3 - Lambertian Scattering\n",
    "\n",
    "Lambertian scattering implies that the surface scatters incident light uniformly in all directions. Diffuse surfaces can be considered approximately Lambertian. To model a Lambertian scatterer in Optiland, we simply define the LambertianBSDF model and pass it to our singlet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "bsdf = scatter.LambertianBSDF()\n",
    "singlet_lambertian = SingletConfigurable(bsdf=bsdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rays = singlet_lambertian.trace(\n",
    "    Hx=0,\n",
    "    Hy=0,\n",
    "    wavelength=0.58756180,\n",
    "    num_rays=1_000_000,\n",
    "    distribution=\"random\",\n",
    ")\n",
    "\n",
    "plot_ray_distribution(rays, bins=np.linspace(-100, 100, 128))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, we are plotting the image plane over a significantly larger area, from -100 mm to 100 mm. Clearly, the Lambertian scatter model has dramatically increased the spot size at the image plane."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Conclusions:\n",
    "\n",
    "- We introduced two BSDF scatter models: Gaussian and Lambertian.\n",
    "- Scatter models can be used to model and understand the impact of manufacturing defects, such as surface roughness on optical surfaces."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
